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11001111324401 = 11171989101344453
BaseRepresentation
bin1010000000010110010101…
…0101010010011011110001
31102221200210100210210210102
42200011211111102123301
52420220233444340101
635221501335042145
72213542536243212
oct240054525223361
942850710723712
1011001111324401
1135615aa5a9430
121298109b10355
1361a52873b363
142a0656dc1409
1514126e02a86b
hexa01655526f1

11001111324401 has 64 divisors (see below), whose sum is σ = 13660218950400. Its totient is φ = 8729791488000.

The previous prime is 11001111324341. The next prime is 11001111324409. The reversal of 11001111324401 is 10442311110011.

It is not a de Polignac number, because 11001111324401 - 226 = 11001044215537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11001111324409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31765691 + ... + 32110143.

It is an arithmetic number, because the mean of its divisors is an integer number (213440921100).

Almost surely, 211001111324401 is an apocalyptic number.

11001111324401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001111324401 is a deficient number, since it is larger than the sum of its proper divisors (2659107625999).

11001111324401 is a wasteful number, since it uses less digits than its factorization.

11001111324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344690.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 11001111324401 its reverse (10442311110011), we get a palindrome (21443422434412).

The spelling of 11001111324401 in words is "eleven trillion, one billion, one hundred eleven million, three hundred twenty-four thousand, four hundred one".

Divisors: 1 11 17 19 89 101 187 209 323 979 1111 1513 1691 1717 1919 3553 8989 16643 18601 18887 21109 28747 32623 98879 152813 170791 316217 344453 358853 1680943 1878701 2903447 3788983 5855701 6544607 30656317 31937917 34789753 64412711 71990677 111258319 337219487 382687283 521157389 582470023 591425801 661005307 1223841509 3096288017 5732731279 6407170253 6505683811 7271058377 9901990391 11237090219 34059168187 52636896289 58829472323 108921894301 123607992409 579005859179 647124195553 1000101029491 11001111324401